Analyticity of the Free Energy of a Closed 3-Manifold

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2008
• ISSN: 1815-0659
• Main Authors: Garoufalidis, S., Thang T.Q. Lê, Mariño, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148975
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analyticity of the Free Energy of a Closed 3-Manifold / S. Garoufalidis, Thang T.Q. Lê, M. Mariño // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 55 назв. — англ.

The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary N. We prove that the free energy of an arbitrary closed 3-manifold is uniform...